Thermally stimulated current spectroscopy due to its simplicity and informativity plays the leading role among the investigation methods of electrically active defects (EAD) in high-resistance materials. In case of disordered dielectrics, namely in polymers the EAD are characterized by the presence of distribution in general case according to activation energy (G) and frequency factor (ω), that is two-dimensional distribution function of relaxators G (W,ω). The task of thermally activated spectroscopy is to define G(W,ω) from the experimentally derived TSD current dependence on temperature. However interpreting of short-circuit thermoactivation current at present is difficult. Given all other existing solutions, this paper shows that the way out of this problem is in using Tikhonov methods of weak regularization as applied to the solution of the given task.